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Finding the Third Proportional to 254,018 and 551,812

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Solution

The third proportional to 254,018 and 551,812 is: 1,198,720.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,018 : 551,812 = 551,812 : x
  2. Step 2: Convert to fraction form
    254,018/551,812 = 551,812/x
  3. Step 3: Cross multiply
    254,018x = 551,812 × 551,812
  4. Step 4: Simplify right side
    254,018x = 304,496,483,344
  5. Step 5: Solve for x
    x = 304,496,483,344/254,018
  6. Step 6: Final answer
    x = 1,198,720.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.